S.D. Mylius, 1996. Section 10.2, pp. 339-353 in [ J. Kumm, S.D. Mylius and D. Promislow, Evolutionary dynamics of structured populations. Chapter 10, pp. 327-353 in ] H. Caswell & S. Tuljapurkar (eds.), Structured-Population Models in Marine, Terrestrial, and Freshwater Systems, volume 18 of Population and Community Biology. Chapman & Hall, New York, U.S.A.
I extend Dawkins' Battle of the Sexes by introducing a population with mating structure. Previous models of the battle of the sexes specify a dynamic system on the basis of the payoff matrices of the evolutionary population-game. Here the sex war is modeled by expressing the costs of raising offspring and performing a prolonged courtship in terms of a time delay during which individuals cannot mate anew. The dynamics of this model are qualitatively different from those of the `homogeneous' models of the battle of the sexes. Evolutionary predictions of a game-theoretical model, in which the costs and benefits of a strategy are summarized by a single entry in a payoff matrix, may be quite different from a model that explicitly considers the mechanisms controlling mating in a structured population.
See also: What pair formation can do to the battle of the sexes: Towards more realistic game dynamics.
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